Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1616177 ◽

2019 ◽

Vol 97 (4) ◽

pp. 920-941

Author(s):

Long Yuan ◽

Qiya Hu

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Helmholtz Equations ◽

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Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version

SIAM Journal on Numerical Analysis ◽

10.1137/090761057 ◽

2011 ◽

Vol 49 (1) ◽

pp. 264-284 ◽

Author(s):

R. Hiptmair ◽

A. Moiola ◽

I. Perugia

Keyword(s):

Helmholtz Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Equation Analysis

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Numerical Investigation of the Conditioning for Plane Wave Discontinuous Galerkin Methods

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2017 ◽

10.1007/978-3-319-96415-7_44 ◽

2019 ◽

pp. 493-500 ◽

Author(s):

Scott Congreve ◽

Joscha Gedicke ◽

Ilaria Perugia

Keyword(s):

Numerical Investigation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Dispersion analysis of plane wave discontinuous Galerkin methods

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4626 ◽

2014 ◽

Vol 98 (5) ◽

pp. 313-323 ◽

Author(s):

Claude J. Gittelson ◽

Ralf Hiptmair

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Dispersion Analysis ◽

Galerkin Methods

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Plane wave discontinuous Galerkin methods: Analysis of theh-version

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2009002 ◽

2009 ◽

Vol 43 (2) ◽

pp. 297-331 ◽

Author(s):

Claude J. Gittelson ◽

Ralf Hiptmair ◽

Ilaria Perugia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Hybridizable Discontinuous Galerkin Methods for Solving Helmholtz Equations

EAGE Workshop on High Performance Computing for Upstream ◽

10.3997/2214-4609.20141907 ◽

2014 ◽

Author(s):

M. Bonnasse-Gahot ◽

H. Calandra ◽

J. Diaz ◽

S. Lanteri

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Helmholtz Equations ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Methods

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Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the $$hp$$ h p -Version

Foundations of Computational Mathematics ◽

10.1007/s10208-015-9260-1 ◽

2015 ◽

Vol 16 (3) ◽

pp. 637-675 ◽

Author(s):

R. Hiptmair ◽

A. Moiola ◽

I. Perugia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Exponential Convergence ◽

Galerkin Methods

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Mixed Plane Wave Discontinuous Galerkin Methods

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XVIII ◽

10.1007/978-3-642-02677-5_5 ◽

2009 ◽

pp. 51-62 ◽

Author(s):

Ralf Hiptmair ◽

Ilaria Perugia

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Optimization of plane wave directions in plane wave discontinuous Galerkin methods for the Helmholtz equation

Portugaliae Mathematica ◽

10.4171/pm/1993 ◽

2017 ◽

Vol 74 (1) ◽

pp. 69-89 ◽

Author(s):

Akshay Agrawal ◽

Ronald Hoppe

Keyword(s):

Helmholtz Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Block Jacobi Relaxation for Plane Wave Discontinuous Galerkin Methods

Lecture Notes in Computational Science and Engineering - Domain Decomposition Methods in Science and Engineering XXI ◽

10.1007/978-3-319-05789-7_55 ◽

2014 ◽

pp. 577-585 ◽

Author(s):

T. Betcke ◽

M. J. Gander ◽

J. Phillips

Keyword(s):

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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Schwarz Domain Decomposition Preconditioners for Plane Wave Discontinuous Galerkin Methods

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications - ENUMATH 2013 ◽

10.1007/978-3-319-10705-9_55 ◽

2014 ◽

pp. 557-572 ◽

Author(s):

Paola F. Antonietti ◽

Ilaria Perugia ◽

Zaliani Davide

Keyword(s):

Domain Decomposition ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods

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